TSTP Solution File: MSC008-1.002 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : MSC008-1.002 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:21:31 EDT 2023
% Result : Unsatisfiable 0.13s 0.37s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : MSC008-1.002 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 09:29:49 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 0.13/0.37 % Refutation found
% 0.13/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.37 fof(f1,axiom,(
% 0.13/0.37 ~ eq(p_1,p_2) ),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f4,axiom,(
% 0.13/0.37 (![Row,Column,Label1,Label2]: (( ~ latin(Row,Column,Label1)| ~ latin(Row,Column,Label2)| eq(Label1,Label2) ) ))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f5,axiom,(
% 0.13/0.37 (![Row,Column1,Label,Column2]: (( ~ latin(Row,Column1,Label)| ~ latin(Row,Column2,Label)| eq(Column1,Column2) ) ))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f6,axiom,(
% 0.13/0.37 (![Row1,Column,Label,Row2]: (( ~ latin(Row1,Column,Label)| ~ latin(Row2,Column,Label)| eq(Row1,Row2) ) ))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f7,axiom,(
% 0.13/0.37 (![Row,Column,Label1,Label2]: (( ~ greek(Row,Column,Label1)| ~ greek(Row,Column,Label2)| eq(Label1,Label2) ) ))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f8,axiom,(
% 0.13/0.37 (![Row,Column1,Label,Column2]: (( ~ greek(Row,Column1,Label)| ~ greek(Row,Column2,Label)| eq(Column1,Column2) ) ))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f9,axiom,(
% 0.13/0.37 (![Row1,Column,Label,Row2]: (( ~ greek(Row1,Column,Label)| ~ greek(Row2,Column,Label)| eq(Row1,Row2) ) ))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f10,axiom,(
% 0.13/0.37 (![Row,Column]: (( latin(Row,Column,p_1)| latin(Row,Column,p_2) ) ))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f11,axiom,(
% 0.13/0.37 (![Row,Label]: (( latin(Row,p_1,Label)| latin(Row,p_2,Label) ) ))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f12,axiom,(
% 0.13/0.37 (![Column,Label]: (( latin(p_1,Column,Label)| latin(p_2,Column,Label) ) ))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f13,axiom,(
% 0.13/0.37 (![Row,Column]: (( greek(Row,Column,p_1)| greek(Row,Column,p_2) ) ))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f14,axiom,(
% 0.13/0.37 (![Row,Label]: (( greek(Row,p_1,Label)| greek(Row,p_2,Label) ) ))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f15,axiom,(
% 0.13/0.37 (![Column,Label]: (( greek(p_1,Column,Label)| greek(p_2,Column,Label) ) ))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f16,negated_conjecture,(
% 0.13/0.37 (![Row1,Column1,Label1,Label2,Row2,Column2]: (( ~ greek(Row1,Column1,Label1)| ~ latin(Row1,Column1,Label2)| ~ greek(Row2,Column2,Label1)| ~ latin(Row2,Column2,Label2)| eq(Column1,Column2) ) ))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f17,negated_conjecture,(
% 0.13/0.37 (![Row1,Column1,Label1,Label2,Row2,Column2]: (( ~ greek(Row1,Column1,Label1)| ~ latin(Row1,Column1,Label2)| ~ greek(Row2,Column2,Label1)| ~ latin(Row2,Column2,Label2)| eq(Row1,Row2) ) ))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f18,plain,(
% 0.13/0.37 ~eq(p_1,p_2)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f1])).
% 0.13/0.37 fof(f21,plain,(
% 0.13/0.37 ![Label1,Label2]: ((![Row,Column]: (~latin(Row,Column,Label1)|~latin(Row,Column,Label2)))|eq(Label1,Label2))),
% 0.13/0.37 inference(miniscoping,[status(esa)],[f4])).
% 0.13/0.37 fof(f22,plain,(
% 0.13/0.37 ![X0,X1,X2,X3]: (~latin(X0,X1,X2)|~latin(X0,X1,X3)|eq(X2,X3))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f21])).
% 0.13/0.37 fof(f23,plain,(
% 0.13/0.37 ![Column1,Column2]: ((![Row,Label]: (~latin(Row,Column1,Label)|~latin(Row,Column2,Label)))|eq(Column1,Column2))),
% 0.13/0.37 inference(miniscoping,[status(esa)],[f5])).
% 0.13/0.37 fof(f24,plain,(
% 0.13/0.37 ![X0,X1,X2,X3]: (~latin(X0,X1,X2)|~latin(X0,X3,X2)|eq(X1,X3))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f23])).
% 0.13/0.37 fof(f25,plain,(
% 0.13/0.37 ![Row1,Row2]: ((![Column,Label]: (~latin(Row1,Column,Label)|~latin(Row2,Column,Label)))|eq(Row1,Row2))),
% 0.13/0.37 inference(miniscoping,[status(esa)],[f6])).
% 0.13/0.37 fof(f26,plain,(
% 0.13/0.37 ![X0,X1,X2,X3]: (~latin(X0,X1,X2)|~latin(X3,X1,X2)|eq(X0,X3))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f25])).
% 0.13/0.37 fof(f27,plain,(
% 0.13/0.37 ![Label1,Label2]: ((![Row,Column]: (~greek(Row,Column,Label1)|~greek(Row,Column,Label2)))|eq(Label1,Label2))),
% 0.13/0.37 inference(miniscoping,[status(esa)],[f7])).
% 0.13/0.37 fof(f28,plain,(
% 0.13/0.37 ![X0,X1,X2,X3]: (~greek(X0,X1,X2)|~greek(X0,X1,X3)|eq(X2,X3))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f27])).
% 0.13/0.37 fof(f29,plain,(
% 0.13/0.37 ![Column1,Column2]: ((![Row,Label]: (~greek(Row,Column1,Label)|~greek(Row,Column2,Label)))|eq(Column1,Column2))),
% 0.13/0.37 inference(miniscoping,[status(esa)],[f8])).
% 0.13/0.37 fof(f30,plain,(
% 0.13/0.37 ![X0,X1,X2,X3]: (~greek(X0,X1,X2)|~greek(X0,X3,X2)|eq(X1,X3))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f29])).
% 0.13/0.37 fof(f31,plain,(
% 0.13/0.37 ![Row1,Row2]: ((![Column,Label]: (~greek(Row1,Column,Label)|~greek(Row2,Column,Label)))|eq(Row1,Row2))),
% 0.13/0.37 inference(miniscoping,[status(esa)],[f9])).
% 0.13/0.37 fof(f32,plain,(
% 0.13/0.37 ![X0,X1,X2,X3]: (~greek(X0,X1,X2)|~greek(X3,X1,X2)|eq(X0,X3))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f31])).
% 0.13/0.37 fof(f33,plain,(
% 0.13/0.37 ![X0,X1]: (latin(X0,X1,p_1)|latin(X0,X1,p_2))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f10])).
% 0.13/0.37 fof(f34,plain,(
% 0.13/0.37 ![X0,X1]: (latin(X0,p_1,X1)|latin(X0,p_2,X1))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f11])).
% 0.13/0.37 fof(f35,plain,(
% 0.13/0.37 ![X0,X1]: (latin(p_1,X0,X1)|latin(p_2,X0,X1))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f12])).
% 0.13/0.37 fof(f36,plain,(
% 0.13/0.37 ![X0,X1]: (greek(X0,X1,p_1)|greek(X0,X1,p_2))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f13])).
% 0.13/0.37 fof(f37,plain,(
% 0.13/0.37 ![X0,X1]: (greek(X0,p_1,X1)|greek(X0,p_2,X1))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f14])).
% 0.13/0.37 fof(f38,plain,(
% 0.13/0.37 ![X0,X1]: (greek(p_1,X0,X1)|greek(p_2,X0,X1))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f15])).
% 0.13/0.37 fof(f39,plain,(
% 0.13/0.37 ![Column1,Column2]: ((![Label2,Row2]: ((![Label1]: ((![Row1]: (~greek(Row1,Column1,Label1)|~latin(Row1,Column1,Label2)))|~greek(Row2,Column2,Label1)))|~latin(Row2,Column2,Label2)))|eq(Column1,Column2))),
% 0.13/0.37 inference(miniscoping,[status(esa)],[f16])).
% 0.13/0.37 fof(f40,plain,(
% 0.13/0.37 ![X0,X1,X2,X3,X4,X5]: (~greek(X0,X1,X2)|~latin(X0,X1,X3)|~greek(X4,X5,X2)|~latin(X4,X5,X3)|eq(X1,X5))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f39])).
% 0.13/0.37 fof(f41,plain,(
% 0.13/0.37 ![Row1,Row2]: ((![Label2,Column2]: ((![Label1]: ((![Column1]: (~greek(Row1,Column1,Label1)|~latin(Row1,Column1,Label2)))|~greek(Row2,Column2,Label1)))|~latin(Row2,Column2,Label2)))|eq(Row1,Row2))),
% 0.13/0.37 inference(miniscoping,[status(esa)],[f17])).
% 0.13/0.37 fof(f42,plain,(
% 0.13/0.37 ![X0,X1,X2,X3,X4,X5]: (~greek(X0,X1,X2)|~latin(X0,X1,X3)|~greek(X4,X5,X2)|~latin(X4,X5,X3)|eq(X0,X4))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f41])).
% 0.13/0.37 fof(f43,plain,(
% 0.13/0.37 ![X0,X1]: (~greek(p_1,X0,X1)|~greek(p_2,X0,X1))),
% 0.13/0.37 inference(resolution,[status(thm)],[f18,f32])).
% 0.13/0.37 fof(f44,plain,(
% 0.13/0.37 ![X0,X1]: (~greek(X0,p_1,X1)|~greek(X0,p_2,X1))),
% 0.13/0.37 inference(resolution,[status(thm)],[f18,f30])).
% 0.13/0.37 fof(f45,plain,(
% 0.13/0.37 ![X0,X1]: (~greek(X0,X1,p_1)|~greek(X0,X1,p_2))),
% 0.13/0.37 inference(resolution,[status(thm)],[f18,f28])).
% 0.13/0.37 fof(f46,plain,(
% 0.13/0.37 ![X0,X1]: (~latin(p_1,X0,X1)|~latin(p_2,X0,X1))),
% 0.13/0.37 inference(resolution,[status(thm)],[f18,f26])).
% 0.13/0.37 fof(f47,plain,(
% 0.13/0.37 ![X0,X1]: (~latin(X0,p_1,X1)|~latin(X0,p_2,X1))),
% 0.13/0.37 inference(resolution,[status(thm)],[f18,f24])).
% 0.13/0.37 fof(f48,plain,(
% 0.13/0.37 ![X0,X1]: (~latin(X0,X1,p_1)|~latin(X0,X1,p_2))),
% 0.13/0.37 inference(resolution,[status(thm)],[f18,f22])).
% 0.13/0.37 fof(f50,plain,(
% 0.13/0.37 ![X0,X1,X2,X3]: (~greek(p_1,X0,X1)|~latin(p_1,X0,X2)|~greek(p_2,X3,X1)|~latin(p_2,X3,X2))),
% 0.13/0.37 inference(resolution,[status(thm)],[f18,f42])).
% 0.13/0.37 fof(f51,plain,(
% 0.13/0.37 ![X0,X1,X2,X3]: (~greek(X0,p_1,X1)|~latin(X0,p_1,X2)|~greek(X3,p_2,X1)|~latin(X3,p_2,X2))),
% 0.13/0.37 inference(resolution,[status(thm)],[f18,f40])).
% 0.13/0.37 fof(f61,plain,(
% 0.13/0.37 ![X0]: (latin(p_2,X0,p_2)|~latin(p_1,X0,p_1))),
% 0.13/0.37 inference(resolution,[status(thm)],[f33,f46])).
% 0.13/0.37 fof(f62,plain,(
% 0.13/0.37 ![X0]: (latin(X0,p_2,p_2)|~latin(X0,p_1,p_1))),
% 0.13/0.37 inference(resolution,[status(thm)],[f33,f47])).
% 0.13/0.37 fof(f63,plain,(
% 0.13/0.37 ![X0]: (latin(p_2,X0,p_2)|latin(p_1,X0,p_2))),
% 0.13/0.37 inference(resolution,[status(thm)],[f61,f33])).
% 0.13/0.37 fof(f64,plain,(
% 0.13/0.37 ![X0]: (latin(X0,p_2,p_2)|latin(X0,p_1,p_2))),
% 0.13/0.37 inference(resolution,[status(thm)],[f62,f33])).
% 0.13/0.37 fof(f65,plain,(
% 0.13/0.37 spl0_0 <=> latin(p_2,p_2,p_2)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f66,plain,(
% 0.13/0.37 latin(p_2,p_2,p_2)|~spl0_0),
% 0.13/0.37 inference(component_clause,[status(thm)],[f65])).
% 0.13/0.37 fof(f68,plain,(
% 0.13/0.37 spl0_1 <=> latin(p_1,p_1,p_2)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f70,plain,(
% 0.13/0.37 ~latin(p_1,p_1,p_2)|spl0_1),
% 0.13/0.37 inference(component_clause,[status(thm)],[f68])).
% 0.13/0.37 fof(f71,plain,(
% 0.13/0.37 latin(p_2,p_2,p_2)|~latin(p_1,p_1,p_2)),
% 0.13/0.37 inference(resolution,[status(thm)],[f63,f47])).
% 0.13/0.37 fof(f72,plain,(
% 0.13/0.37 spl0_0|~spl0_1),
% 0.13/0.37 inference(split_clause,[status(thm)],[f71,f65,f68])).
% 0.13/0.37 fof(f74,plain,(
% 0.13/0.37 latin(p_2,p_1,p_2)|spl0_1),
% 0.13/0.37 inference(resolution,[status(thm)],[f70,f63])).
% 0.13/0.37 fof(f76,plain,(
% 0.13/0.37 ~latin(p_2,p_1,p_1)|spl0_1),
% 0.13/0.37 inference(resolution,[status(thm)],[f74,f48])).
% 0.13/0.37 fof(f78,plain,(
% 0.13/0.37 spl0_2 <=> latin(p_2,p_1,p_2)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f79,plain,(
% 0.13/0.37 latin(p_2,p_1,p_2)|~spl0_2),
% 0.13/0.37 inference(component_clause,[status(thm)],[f78])).
% 0.13/0.37 fof(f81,plain,(
% 0.13/0.37 spl0_3 <=> latin(p_1,p_2,p_2)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f82,plain,(
% 0.13/0.37 latin(p_1,p_2,p_2)|~spl0_3),
% 0.13/0.37 inference(component_clause,[status(thm)],[f81])).
% 0.13/0.37 fof(f83,plain,(
% 0.13/0.37 ~latin(p_1,p_2,p_2)|spl0_3),
% 0.13/0.37 inference(component_clause,[status(thm)],[f81])).
% 0.13/0.37 fof(f86,plain,(
% 0.13/0.37 ![X0]: (latin(X0,p_1,p_2)|~latin(X0,p_2,p_1))),
% 0.13/0.37 inference(resolution,[status(thm)],[f64,f48])).
% 0.13/0.37 fof(f89,plain,(
% 0.13/0.37 latin(p_1,p_1,p_2)|spl0_3),
% 0.13/0.37 inference(resolution,[status(thm)],[f83,f64])).
% 0.13/0.37 fof(f90,plain,(
% 0.13/0.37 $false|spl0_1|spl0_3),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f89,f70])).
% 0.13/0.37 fof(f91,plain,(
% 0.13/0.37 spl0_1|spl0_3),
% 0.13/0.37 inference(contradiction_clause,[status(thm)],[f90])).
% 0.13/0.37 fof(f93,plain,(
% 0.13/0.37 ~latin(p_2,p_1,p_2)|~spl0_0),
% 0.13/0.37 inference(resolution,[status(thm)],[f66,f47])).
% 0.13/0.37 fof(f95,plain,(
% 0.13/0.37 ~latin(p_1,p_1,p_2)|~spl0_2),
% 0.13/0.37 inference(resolution,[status(thm)],[f79,f46])).
% 0.13/0.37 fof(f96,plain,(
% 0.13/0.37 ~spl0_1|~spl0_2),
% 0.13/0.37 inference(split_clause,[status(thm)],[f95,f68,f78])).
% 0.13/0.37 fof(f99,plain,(
% 0.13/0.37 ~latin(p_1,p_2,p_1)|~spl0_3),
% 0.13/0.37 inference(resolution,[status(thm)],[f82,f48])).
% 0.13/0.37 fof(f102,plain,(
% 0.13/0.37 spl0_4 <=> latin(p_1,p_1,p_1)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f105,plain,(
% 0.13/0.37 latin(p_1,p_1,p_1)|latin(p_2,p_2,p_2)),
% 0.13/0.37 inference(resolution,[status(thm)],[f34,f61])).
% 0.13/0.37 fof(f106,plain,(
% 0.13/0.37 spl0_4|spl0_0),
% 0.13/0.37 inference(split_clause,[status(thm)],[f105,f102,f65])).
% 0.13/0.37 fof(f107,plain,(
% 0.13/0.37 ![X0]: (latin(p_2,p_1,X0)|~latin(p_1,p_2,X0))),
% 0.13/0.37 inference(resolution,[status(thm)],[f34,f46])).
% 0.13/0.37 fof(f121,plain,(
% 0.13/0.37 spl0_5 <=> latin(p_2,p_1,p_1)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f122,plain,(
% 0.13/0.37 latin(p_2,p_1,p_1)|~spl0_5),
% 0.13/0.37 inference(component_clause,[status(thm)],[f121])).
% 0.13/0.37 fof(f132,plain,(
% 0.13/0.37 latin(p_2,p_1,p_2)|spl0_1),
% 0.13/0.37 inference(resolution,[status(thm)],[f70,f63])).
% 0.13/0.37 fof(f133,plain,(
% 0.13/0.37 $false|~spl0_0|spl0_1),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f132,f93])).
% 0.13/0.37 fof(f134,plain,(
% 0.13/0.37 ~spl0_0|spl0_1),
% 0.13/0.37 inference(contradiction_clause,[status(thm)],[f133])).
% 0.13/0.37 fof(f147,plain,(
% 0.13/0.37 spl0_6 <=> latin(p_1,p_2,p_1)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f148,plain,(
% 0.13/0.37 latin(p_1,p_2,p_1)|~spl0_6),
% 0.13/0.37 inference(component_clause,[status(thm)],[f147])).
% 0.13/0.37 fof(f150,plain,(
% 0.13/0.37 latin(p_1,p_2,p_1)|latin(p_2,p_1,p_2)),
% 0.13/0.37 inference(resolution,[status(thm)],[f35,f86])).
% 0.13/0.37 fof(f151,plain,(
% 0.13/0.37 spl0_6|spl0_2),
% 0.13/0.37 inference(split_clause,[status(thm)],[f150,f147,f78])).
% 0.13/0.37 fof(f152,plain,(
% 0.13/0.37 ![X0]: (latin(p_1,p_2,X0)|~latin(p_2,p_1,X0))),
% 0.13/0.37 inference(resolution,[status(thm)],[f35,f47])).
% 0.13/0.37 fof(f161,plain,(
% 0.13/0.37 ![X0]: (greek(p_2,X0,p_2)|~greek(p_1,X0,p_1))),
% 0.13/0.37 inference(resolution,[status(thm)],[f36,f43])).
% 0.13/0.37 fof(f162,plain,(
% 0.13/0.37 ![X0,X1,X2]: (greek(p_2,X0,p_2)|~greek(p_1,X1,p_1)|~latin(p_1,X1,X2)|~latin(p_2,X0,X2))),
% 0.13/0.37 inference(resolution,[status(thm)],[f36,f50])).
% 0.13/0.37 fof(f163,plain,(
% 0.13/0.37 ![X0]: (greek(X0,p_2,p_2)|~greek(X0,p_1,p_1))),
% 0.13/0.37 inference(resolution,[status(thm)],[f36,f44])).
% 0.13/0.37 fof(f164,plain,(
% 0.13/0.37 ![X0,X1,X2]: (greek(X0,p_2,p_2)|~greek(X1,p_1,p_1)|~latin(X1,p_1,X2)|~latin(X0,p_2,X2))),
% 0.13/0.37 inference(resolution,[status(thm)],[f36,f51])).
% 0.13/0.37 fof(f165,plain,(
% 0.13/0.37 ![X0]: (greek(p_2,X0,p_2)|greek(p_1,X0,p_2))),
% 0.13/0.37 inference(resolution,[status(thm)],[f161,f36])).
% 0.13/0.37 fof(f166,plain,(
% 0.13/0.37 ![X0]: (greek(X0,p_2,p_2)|greek(X0,p_1,p_2))),
% 0.13/0.37 inference(resolution,[status(thm)],[f163,f36])).
% 0.13/0.37 fof(f167,plain,(
% 0.13/0.37 spl0_7 <=> greek(p_2,p_2,p_2)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f168,plain,(
% 0.13/0.37 greek(p_2,p_2,p_2)|~spl0_7),
% 0.13/0.37 inference(component_clause,[status(thm)],[f167])).
% 0.13/0.37 fof(f170,plain,(
% 0.13/0.37 spl0_8 <=> greek(p_1,p_1,p_2)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f171,plain,(
% 0.13/0.37 greek(p_1,p_1,p_2)|~spl0_8),
% 0.13/0.37 inference(component_clause,[status(thm)],[f170])).
% 0.13/0.37 fof(f172,plain,(
% 0.13/0.37 ~greek(p_1,p_1,p_2)|spl0_8),
% 0.13/0.37 inference(component_clause,[status(thm)],[f170])).
% 0.13/0.37 fof(f173,plain,(
% 0.13/0.37 greek(p_2,p_2,p_2)|~greek(p_1,p_1,p_2)),
% 0.13/0.37 inference(resolution,[status(thm)],[f165,f44])).
% 0.13/0.37 fof(f174,plain,(
% 0.13/0.37 spl0_7|~spl0_8),
% 0.13/0.37 inference(split_clause,[status(thm)],[f173,f167,f170])).
% 0.13/0.37 fof(f175,plain,(
% 0.13/0.37 spl0_9 <=> ~greek(X0,p_1,p_2)|~latin(X0,p_1,X1)|~latin(p_1,p_2,X1)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f176,plain,(
% 0.13/0.37 ![X0,X1]: (~greek(X0,p_1,p_2)|~latin(X0,p_1,X1)|~latin(p_1,p_2,X1)|~spl0_9)),
% 0.13/0.37 inference(component_clause,[status(thm)],[f175])).
% 0.13/0.37 fof(f178,plain,(
% 0.13/0.37 ![X0,X1]: (greek(p_2,p_2,p_2)|~greek(X0,p_1,p_2)|~latin(X0,p_1,X1)|~latin(p_1,p_2,X1))),
% 0.13/0.37 inference(resolution,[status(thm)],[f165,f51])).
% 0.13/0.37 fof(f179,plain,(
% 0.13/0.37 spl0_7|spl0_9),
% 0.13/0.37 inference(split_clause,[status(thm)],[f178,f167,f175])).
% 0.13/0.37 fof(f181,plain,(
% 0.13/0.37 ~greek(p_1,p_2,p_2)|~spl0_7),
% 0.13/0.37 inference(resolution,[status(thm)],[f168,f43])).
% 0.13/0.37 fof(f182,plain,(
% 0.13/0.37 ![X0,X1]: (~greek(p_1,X0,p_2)|~latin(p_1,X0,X1)|~latin(p_2,p_2,X1)|~spl0_7)),
% 0.13/0.37 inference(resolution,[status(thm)],[f168,f50])).
% 0.13/0.37 fof(f183,plain,(
% 0.13/0.37 ~greek(p_2,p_1,p_2)|~spl0_7),
% 0.13/0.37 inference(resolution,[status(thm)],[f168,f44])).
% 0.13/0.37 fof(f198,plain,(
% 0.13/0.37 spl0_11 <=> ~latin(p_1,p_1,X0)|~latin(p_2,p_2,X0)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f199,plain,(
% 0.13/0.37 ![X0]: (~latin(p_1,p_1,X0)|~latin(p_2,p_2,X0)|~spl0_11)),
% 0.13/0.37 inference(component_clause,[status(thm)],[f198])).
% 0.13/0.37 fof(f201,plain,(
% 0.13/0.37 spl0_12 <=> greek(p_1,p_2,p_2)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f202,plain,(
% 0.13/0.37 greek(p_1,p_2,p_2)|~spl0_12),
% 0.13/0.37 inference(component_clause,[status(thm)],[f201])).
% 0.13/0.37 fof(f204,plain,(
% 0.13/0.37 ![X0]: (~latin(p_1,p_1,X0)|~latin(p_2,p_2,X0)|greek(p_1,p_2,p_2)|~spl0_7)),
% 0.13/0.37 inference(resolution,[status(thm)],[f182,f166])).
% 0.13/0.37 fof(f205,plain,(
% 0.13/0.37 spl0_11|spl0_12|~spl0_7),
% 0.13/0.37 inference(split_clause,[status(thm)],[f204,f198,f201,f167])).
% 0.13/0.37 fof(f206,plain,(
% 0.13/0.37 greek(p_2,p_1,p_2)|spl0_8),
% 0.13/0.37 inference(resolution,[status(thm)],[f172,f165])).
% 0.13/0.37 fof(f207,plain,(
% 0.13/0.37 $false|~spl0_7|spl0_8),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f206,f183])).
% 0.13/0.37 fof(f208,plain,(
% 0.13/0.37 ~spl0_7|spl0_8),
% 0.13/0.37 inference(contradiction_clause,[status(thm)],[f207])).
% 0.13/0.37 fof(f218,plain,(
% 0.13/0.37 ![X0]: (~latin(p_2,p_1,X0)|~latin(p_1,p_2,X0)|~spl0_9|spl0_8)),
% 0.13/0.37 inference(resolution,[status(thm)],[f176,f206])).
% 0.13/0.37 fof(f219,plain,(
% 0.13/0.37 ![X0]: (~latin(p_1,p_2,X0)|~spl0_9|spl0_8)),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f218,f107])).
% 0.13/0.37 fof(f220,plain,(
% 0.13/0.37 spl0_13 <=> ~latin(p_1,p_1,X0)|~latin(p_1,p_2,X0)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f223,plain,(
% 0.13/0.37 spl0_14 <=> greek(p_2,p_1,p_2)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f224,plain,(
% 0.13/0.37 greek(p_2,p_1,p_2)|~spl0_14),
% 0.13/0.37 inference(component_clause,[status(thm)],[f223])).
% 0.13/0.37 fof(f226,plain,(
% 0.13/0.37 ![X0]: (~latin(p_1,p_1,X0)|~latin(p_1,p_2,X0)|greek(p_2,p_1,p_2)|~spl0_9)),
% 0.13/0.37 inference(resolution,[status(thm)],[f176,f165])).
% 0.13/0.37 fof(f227,plain,(
% 0.13/0.37 spl0_13|spl0_14|~spl0_9),
% 0.13/0.37 inference(split_clause,[status(thm)],[f226,f220,f223,f175])).
% 0.13/0.37 fof(f229,plain,(
% 0.13/0.37 $false|spl0_1|~spl0_5),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f122,f76])).
% 0.13/0.37 fof(f230,plain,(
% 0.13/0.37 spl0_1|~spl0_5),
% 0.13/0.37 inference(contradiction_clause,[status(thm)],[f229])).
% 0.13/0.37 fof(f231,plain,(
% 0.13/0.37 ~greek(p_1,p_1,p_2)|~spl0_14),
% 0.13/0.37 inference(resolution,[status(thm)],[f224,f43])).
% 0.13/0.37 fof(f232,plain,(
% 0.13/0.37 ~spl0_8|~spl0_14),
% 0.13/0.37 inference(split_clause,[status(thm)],[f231,f170,f223])).
% 0.13/0.37 fof(f235,plain,(
% 0.13/0.37 ![X0]: (~latin(p_2,p_1,X0)|~spl0_9|spl0_8)),
% 0.13/0.37 inference(backward_subsumption_resolution,[status(thm)],[f152,f219])).
% 0.13/0.37 fof(f240,plain,(
% 0.13/0.37 latin(p_1,p_1,p_2)|~spl0_6),
% 0.13/0.37 inference(resolution,[status(thm)],[f148,f86])).
% 0.13/0.37 fof(f243,plain,(
% 0.13/0.37 ![X0,X1,X2]: (greek(p_2,X0,p_2)|~latin(p_1,X1,X2)|~latin(p_2,X0,X2)|greek(p_1,X1,p_2))),
% 0.13/0.37 inference(resolution,[status(thm)],[f162,f36])).
% 0.13/0.37 fof(f244,plain,(
% 0.13/0.37 ![X0,X1,X2]: (greek(X0,p_2,p_2)|~latin(X1,p_1,X2)|~latin(X0,p_2,X2)|greek(X1,p_1,p_2))),
% 0.13/0.37 inference(resolution,[status(thm)],[f164,f36])).
% 0.13/0.37 fof(f245,plain,(
% 0.13/0.37 latin(p_2,p_1,p_1)|~spl0_6),
% 0.13/0.37 inference(resolution,[status(thm)],[f107,f148])).
% 0.13/0.37 fof(f256,plain,(
% 0.13/0.37 spl0_15 <=> greek(p_2,X0,p_2)|~latin(p_1,p_2,X1)|~latin(p_2,X0,X1)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f273,plain,(
% 0.13/0.37 latin(p_2,p_1,p_2)|~spl0_9|spl0_8),
% 0.13/0.37 inference(resolution,[status(thm)],[f235,f33])).
% 0.13/0.37 fof(f274,plain,(
% 0.13/0.37 $false|~spl0_9|spl0_8),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f273,f235])).
% 0.13/0.37 fof(f275,plain,(
% 0.13/0.37 ~spl0_9|spl0_8),
% 0.13/0.37 inference(contradiction_clause,[status(thm)],[f274])).
% 0.13/0.37 fof(f294,plain,(
% 0.13/0.37 ~greek(p_1,p_1,p_1)|~spl0_8),
% 0.13/0.37 inference(resolution,[status(thm)],[f171,f45])).
% 0.13/0.37 fof(f296,plain,(
% 0.13/0.37 spl0_16 <=> greek(p_1,p_1,p_1)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f297,plain,(
% 0.13/0.37 greek(p_1,p_1,p_1)|~spl0_16),
% 0.13/0.37 inference(component_clause,[status(thm)],[f296])).
% 0.13/0.37 fof(f304,plain,(
% 0.13/0.37 ![X0]: (greek(p_2,p_1,X0)|~greek(p_1,p_2,X0))),
% 0.13/0.37 inference(resolution,[status(thm)],[f37,f43])).
% 0.13/0.37 fof(f305,plain,(
% 0.13/0.37 ![X0,X1,X2]: (greek(p_2,p_1,X0)|~greek(p_1,X1,X0)|~latin(p_1,X1,X2)|~latin(p_2,p_2,X2))),
% 0.13/0.37 inference(resolution,[status(thm)],[f37,f50])).
% 0.13/0.37 fof(f307,plain,(
% 0.13/0.37 ![X0]: (greek(X0,p_1,p_2)|~greek(X0,p_2,p_1))),
% 0.13/0.37 inference(resolution,[status(thm)],[f37,f45])).
% 0.13/0.37 fof(f308,plain,(
% 0.13/0.37 $false|~spl0_8|~spl0_16),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f297,f294])).
% 0.13/0.37 fof(f309,plain,(
% 0.13/0.37 ~spl0_8|~spl0_16),
% 0.13/0.37 inference(contradiction_clause,[status(thm)],[f308])).
% 0.13/0.37 fof(f315,plain,(
% 0.13/0.37 spl0_17 <=> greek(X0,p_2,p_2)|~latin(p_2,p_1,X1)|~latin(X0,p_2,X1)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f318,plain,(
% 0.13/0.37 ![X0,X1]: (greek(p_1,p_1,p_1)|greek(X0,p_2,p_2)|~latin(p_2,p_1,X1)|~latin(X0,p_2,X1))),
% 0.13/0.37 inference(resolution,[status(thm)],[f38,f164])).
% 0.13/0.37 fof(f319,plain,(
% 0.13/0.37 spl0_16|spl0_17),
% 0.13/0.37 inference(split_clause,[status(thm)],[f318,f296,f315])).
% 0.13/0.37 fof(f323,plain,(
% 0.13/0.37 ![X0,X1,X2]: (greek(p_1,p_2,X0)|~greek(X1,p_1,X0)|~latin(X1,p_1,X2)|~latin(p_2,p_2,X2))),
% 0.13/0.37 inference(resolution,[status(thm)],[f38,f51])).
% 0.13/0.37 fof(f329,plain,(
% 0.13/0.37 spl0_18 <=> latin(p_2,p_2,p_1)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f331,plain,(
% 0.13/0.37 ~latin(p_2,p_2,p_1)|spl0_18),
% 0.13/0.37 inference(component_clause,[status(thm)],[f329])).
% 0.13/0.37 fof(f332,plain,(
% 0.13/0.37 ~latin(p_2,p_2,p_1)|latin(p_1,p_1,p_2)|~spl0_11),
% 0.13/0.37 inference(resolution,[status(thm)],[f199,f33])).
% 0.13/0.37 fof(f333,plain,(
% 0.13/0.37 ~spl0_18|spl0_1|~spl0_11),
% 0.13/0.37 inference(split_clause,[status(thm)],[f332,f329,f68,f198])).
% 0.13/0.37 fof(f334,plain,(
% 0.13/0.37 $false|~spl0_7|~spl0_12),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f202,f181])).
% 0.13/0.37 fof(f335,plain,(
% 0.13/0.37 ~spl0_7|~spl0_12),
% 0.13/0.37 inference(contradiction_clause,[status(thm)],[f334])).
% 0.13/0.37 fof(f336,plain,(
% 0.13/0.37 latin(p_1,p_2,p_1)|spl0_18),
% 0.13/0.37 inference(resolution,[status(thm)],[f331,f35])).
% 0.13/0.37 fof(f337,plain,(
% 0.13/0.37 $false|~spl0_3|spl0_18),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f336,f99])).
% 0.13/0.37 fof(f338,plain,(
% 0.13/0.37 ~spl0_3|spl0_18),
% 0.13/0.37 inference(contradiction_clause,[status(thm)],[f337])).
% 0.13/0.37 fof(f360,plain,(
% 0.13/0.37 ![X0,X1]: (greek(p_2,p_1,p_2)|greek(p_2,X0,p_2)|~latin(p_1,p_2,X1)|~latin(p_2,X0,X1))),
% 0.13/0.37 inference(resolution,[status(thm)],[f304,f243])).
% 0.13/0.37 fof(f361,plain,(
% 0.13/0.37 spl0_14|spl0_15),
% 0.13/0.37 inference(split_clause,[status(thm)],[f360,f223,f256])).
% 0.13/0.37 fof(f363,plain,(
% 0.13/0.37 spl0_19 <=> greek(p_2,p_1,p_1)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f366,plain,(
% 0.13/0.37 greek(p_2,p_1,p_1)|greek(p_1,p_2,p_2)),
% 0.13/0.37 inference(resolution,[status(thm)],[f304,f36])).
% 0.13/0.37 fof(f367,plain,(
% 0.13/0.37 spl0_19|spl0_12),
% 0.13/0.37 inference(split_clause,[status(thm)],[f366,f363,f201])).
% 0.13/0.37 fof(f371,plain,(
% 0.13/0.37 spl0_20 <=> greek(p_2,p_1,X0)|~greek(p_1,X1,X0)|~latin(p_1,X1,p_1)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f374,plain,(
% 0.13/0.37 ![X0,X1]: (greek(p_2,p_1,X0)|~greek(p_1,X1,X0)|~latin(p_1,X1,p_1)|latin(p_2,p_2,p_2))),
% 0.13/0.37 inference(resolution,[status(thm)],[f305,f33])).
% 0.13/0.37 fof(f375,plain,(
% 0.13/0.37 spl0_20|spl0_0),
% 0.13/0.37 inference(split_clause,[status(thm)],[f374,f371,f65])).
% 0.13/0.37 fof(f380,plain,(
% 0.13/0.37 spl0_21 <=> greek(p_1,p_2,p_1)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f383,plain,(
% 0.13/0.37 greek(p_2,p_1,p_2)|greek(p_1,p_2,p_1)),
% 0.13/0.37 inference(resolution,[status(thm)],[f307,f38])).
% 0.13/0.37 fof(f384,plain,(
% 0.13/0.37 spl0_14|spl0_21),
% 0.13/0.37 inference(split_clause,[status(thm)],[f383,f223,f380])).
% 0.13/0.37 fof(f398,plain,(
% 0.13/0.37 spl0_22 <=> greek(p_1,p_2,X0)|~greek(X1,p_1,X0)|~latin(X1,p_1,p_1)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f401,plain,(
% 0.13/0.37 ![X0,X1]: (greek(p_1,p_2,X0)|~greek(X1,p_1,X0)|~latin(X1,p_1,p_1)|latin(p_2,p_2,p_2))),
% 0.13/0.37 inference(resolution,[status(thm)],[f323,f33])).
% 0.13/0.37 fof(f402,plain,(
% 0.13/0.37 spl0_22|spl0_0),
% 0.13/0.37 inference(split_clause,[status(thm)],[f401,f398,f65])).
% 0.13/0.37 fof(f412,plain,(
% 0.13/0.37 spl0_24 <=> greek(X0,p_2,p_2)|~latin(X0,p_2,p_1)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f415,plain,(
% 0.13/0.37 ![X0]: (greek(X0,p_2,p_2)|~latin(X0,p_2,p_1)|greek(p_2,p_1,p_2)|~spl0_6)),
% 0.13/0.37 inference(resolution,[status(thm)],[f244,f245])).
% 0.13/0.37 fof(f416,plain,(
% 0.13/0.37 spl0_24|spl0_14|~spl0_6),
% 0.13/0.37 inference(split_clause,[status(thm)],[f415,f412,f223,f147])).
% 0.13/0.37 fof(f417,plain,(
% 0.13/0.37 spl0_25 <=> greek(X0,p_2,p_2)|~latin(X0,p_2,X1)|latin(p_1,p_1,X1)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f420,plain,(
% 0.13/0.37 ![X0,X1]: (greek(X0,p_2,p_2)|~latin(X0,p_2,X1)|greek(p_2,p_1,p_2)|latin(p_1,p_1,X1))),
% 0.13/0.37 inference(resolution,[status(thm)],[f244,f35])).
% 0.13/0.37 fof(f421,plain,(
% 0.13/0.37 spl0_25|spl0_14),
% 0.13/0.37 inference(split_clause,[status(thm)],[f420,f417,f223])).
% 0.13/0.37 fof(f422,plain,(
% 0.13/0.37 spl0_26 <=> greek(X1,p_1,p_2)|latin(X1,p_1,p_2)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f425,plain,(
% 0.13/0.37 ![X0,X1]: (greek(X0,p_2,p_2)|~latin(X0,p_2,p_1)|greek(X1,p_1,p_2)|latin(X1,p_1,p_2))),
% 0.13/0.37 inference(resolution,[status(thm)],[f244,f33])).
% 0.13/0.37 fof(f426,plain,(
% 0.13/0.37 spl0_24|spl0_26),
% 0.13/0.37 inference(split_clause,[status(thm)],[f425,f412,f422])).
% 0.13/0.37 fof(f431,plain,(
% 0.13/0.37 ~latin(p_2,p_2,p_2)|~spl0_11|~spl0_6),
% 0.13/0.37 inference(resolution,[status(thm)],[f199,f240])).
% 0.13/0.37 fof(f432,plain,(
% 0.13/0.37 ~spl0_0|~spl0_11|~spl0_6),
% 0.13/0.37 inference(split_clause,[status(thm)],[f431,f65,f198,f147])).
% 0.13/0.37 fof(f435,plain,(
% 0.13/0.37 $false),
% 0.13/0.37 inference(sat_refutation,[status(thm)],[f72,f91,f96,f106,f134,f151,f174,f179,f205,f208,f227,f230,f232,f275,f309,f319,f333,f335,f338,f361,f367,f375,f384,f402,f416,f421,f426,f432])).
% 0.13/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.38 % Elapsed time: 0.033347 seconds
% 0.13/0.38 % CPU time: 0.152287 seconds
% 0.13/0.38 % Memory used: 3.084 MB
%------------------------------------------------------------------------------